This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator that makes averages of...

We propose a methodology based on multiresolution analysis to decompose a time series in components classifi ed by their level of persistence. Using this decomposition to detect the layers with diff erent degrees of persistence in consumption growth, we provide empirical evidence that some of...

This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator that makes averages of...